Check your regular Math.
A shopkeeper buys a toy for 50 bucks from a wholesaler.
He wishes to give customers an option of choosing the % of discount they want in a specific range, such that shopkeeper makes NO loss after all the transactions , on the selling price of 100 bucks. But he insists an additional tax on the remaining amount at the same rate as previously chosen by the customer for discount.
What is the maximum % discount that the buyer can tell his/her friends that (s)he got on the purchase?
If Answer IS a natural number report the sum of its digits. IF its NOT a natural number report it after rounding it of to a natural number.
NOTE( might help ) : The tax is eventually taken by the shopkeeper himself and is not passed on to the government.
The answer is 71.
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1 solution
It basic application of percentage.
I'll let you know how to proceed while calculations can be done on your part. Now the key point to note is that shopkeeper has to eventually make at least 50 bucks after adding the Tax which he keeps for himself. Consider the percent discount 'x' then amount after discount will be 100 - 100 x/100 = 100-x Now add percent tax on this value --> 100-x + (100-x ) x/100 = the minimum amount to earn by the shopkeeper = 50
Now solve for x and you get your answer.